Log Iitaka conjecture for abundant log canonical fibrations

Abstract

We prove that the log Iitaka conjecture holds for log canonical fibrations when log canonical divisor of a sufficiently general fiber is abundant.

arXiv comment11 pages, v2:Lemma 2.4 and Remark 2.5 were added and typos are corrected

References in corpus (3)

• On existence of log minimal models
• Reduction maps and minimal model theory
• Finite generation of the log canonical ring in dimension four

Cited by in corpus (2)

• Corrigendum: On subadditivity of the logarithmic Kodaira dimension
• Abundance for uniruled pairs which are not rationally connected